Student Learning Map

  • Topic:Circles
  • Subject(s):Math
  • Days:15
  • Grade(s):9, 10, 11, 12
Key Learning: Many relationships exist between a circle and lines, segments, and angles.
Unit Essential Question(s):
 
 
What relationships exist between circles and the lines and segments that intersect the circle?
   
Concept: Tangent Lines
Concept: Chords and Arcs
Concept: Inscribed Angles
Lesson Essential Question(s):

What is a tangent line to a circle? (A)

How is the tangent to a circle related to the radius of the circle at the point of tangency? (A)

What relationship exists when two segments are drawn tangent to a circle from one point? (A)

Lesson Essential Question(s):

How are chords and arcs related to each other? (A)

What relationships exist within a circle when a chord bisects a diameter and how are these relationships used to solve measures within a circle? (A)

How is the tangent to a circle related to the radius of the circle at the point of tangency? (ET)

What relationships exist within a circle when a chord bisects a diameter and how are these relationships used to solve measures within a circle? (ET)

Lesson Essential Question(s):

What is an inscribed angle? (A)

What relationship exists between an inscribed angle and the arc it intercepts? (A)

What relationship exists between an inscribed angle and the arc it intercepts? (ET)

How is the relationship between an inscribed angle and its intercepted arc used to find measures within a circle? (ET)

How are chords and arcs related to each other? (ET)

What similarities/differences exist between central angles and inscribed angles? (ET)

Concept: Angle Measures & Segment Lengths
Concept: ___OBJECTIVES___5___
Concept: ___OBJECTIVES___6___
Lesson Essential Question(s):

What is an inscribed angle? (A)

What relationship exist between segments formed by chords, secants, and tangents of circles? (A)

What relationship exists between an inscribed angle and the arc it intercepts? (A)

What is the relationship between angles formed by chords, secants, and tangents of circles? (A)

Lesson Essential Question(s):
Lesson Essential Question(s):
Vocabulary:

secant

Vocabulary:

Vocabulary:

Additional Info:

Ask an experienced coworker for additional reference texts and/or other materials.

Prentice Hall Geometry Ch.11.1-11.4)

Text Ancillary Materials

Scientific Calculator, Protractor, Graph Paper

FCAT Explorer

Mission FCAT

Polk County FCAT Item Test Bank

www.PHSchool.com

Kaplan Lesson Plans

Resources:

Vocabulary Report

  • tangent to a circle -
  • chord -
  • inscribed angle -
  • secant -
  • point of tangency -
  • intercepted arc -
  • inscribed in -
  • circumscribed about -